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**1. Homework Statement**

Suppose [itex]a_n > 0[/itex], [itex]s_n =a_1 + ... + a_n[/itex], and [itex]\sum a_n[/itex] diverges,

a) Prove that

[tex]\sum \frac{a_n}{1+a_n}[/tex]

diverges.

**2. Homework Equations**

**3. The Attempt at a Solution**

Comparison with a_n fails miserably.

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